The unified theorems and theories used in the analysis of order, sequence, pattern, form, space, figures, and numbers.

Algebra studies the existence and uniqueness of solution sets in equations and inequalities. Calculus, and its subset Differential Equations, further explores the properties of Algebra through use of derivatives, antiderivatives (integrals), and partial derivatives/antiderivatives.
Game Theory involves the study of outcomes in scenarios, prediction, and optimization strategies in practical applications. There's many more branches, such as signal theory and other shit, but, quite simply, nobody, yes, mathematicians, NOBODY gives a flying fuck.

Mathematics, akin to chemistry and physics, is not about making friends. You need it a hell of a lot more than it needs you.

Contrary to scholastic doctrine, the majority of Mathematics must be purposely rigged in order to actually achieve a solution. Even more padding and precautionary measures must be added in order to make the solution somewhat understandable or practical.

Mathematics varies from the concrete applicational types, such as calculus and algebra, to the overly-abstract fields, such as linear theory. It's a necessary in anything scientific, and is useful in sweeping the academic debris away from fields in which they could do serious harm, safely into liberal arts studies. While we should all be thankful for that aspect, many people, author included, still despise Mathematics for being overly complicated due to lackidaisical teaching and god-awful textbook writers.

n.
1) A mind-altering form of logic and proof, practiced and developed largely by nerds and geeks, having its origins in prehistory. That study of logic in which simple ideas such as number, line, point or symmetry are used and combined to describe the properties of number, point, line, plane and symmetry.

Subjects within a modern mathematics degree might include selected topics from;

Number Theory: the analysis of why not all numbers are like the number 1.

Calculus: Differential calculus is the study of how to find the slope of a single point while integral calculus is the study of how to add up infinite quantities of numbers and obtain a single finite number as a result.

Topology: The study of how coffee cups are actually quite similar to doughnuts.

Mathematics as a form of mental kung fu is used extensively in all the sciences and in business and trade, it is at the heart of all technical progress. The average person uses mathematics, for example, to locate bargains in shopping malls by simply looking at a few numerals on a price tag.

Hey Cuthberton, did I tell you that I used some kickass zen master mathematics to calculate which mathgirl I would ask out to the science fair?